Soft Computing-1

Compute the value of adding the following two fuzzy integers : A = {(0.3, 1), (0.6, 2), (1, 3), (0.7, 4), (0.2, 5)} B = {(0.5, 11), (1, 12), (0.5, 13)} Where fuzzy addition is defined as μA+B (z) = max x + y = z(min (μA(x), μB(x))) Then, f (A + B) is equal to

• {(0.5, 12), (0.6, 13), (1, 14), (0.7, 15), (0.7, 16), (1, 17), (1, 18)}

• {(0.5, 12), (0.6, 13), (1, 14), (1, 15), (1, 16), (1, 17), (1, 18)}

• {(0.3, 12), (0.5, 13), (0.5, 14), (1, 15), (0.7, 16), (0.5, 17), (0.2, 18)}

• {(0.3, 12), (0.5, 13), (0.6, 14), (1, 15), (0.7, 16), (0.5, 17), (0.2, 18)}

The membership functions are generally represented in

• Tabular Form

• Graphical Form

• Mathematical Form

• Logical Form

Three main basic features involved in characterizing membership function are

• Intution, Inference, Rank Ordering

• Fuzzy Algorithm, Neural network, Genetic Algorithm

• Core, Support , Boundary

• Weighted Average, center of Sums, Median

A fuzzy set whose membership function has at least one element x in the universe whose membership value

is unity is called

• sub normal fuzzy sets

• normal fuzzy set

• convex fuzzy set

• concave fuzzy set

A fuzzy set wherein no membership function has its value equal to 1 is called

A.B.C.D.

• normal fuzzy set

• subnormal fuzzy set.

• convex fuzzy set

• concave fuzzy set

Who initiated the idea of Soft Computing

A.B.C.D.

• Charles Darwin

• Lofti A Zadeh

• Mc_Culloch

• Rechenberg

Core of soft Computing is....................

• Fuzzy Computing, Neural Computing, Genetic Algorithms

• Fuzzy Networks and Artificial Intelligence

• Artificial Intelligence and Neural Science

• Neural Science and Genetic Science

Fuzzy logic is usually represented as

• IF-THEN-ELSE rules

• IF-THEN rules

• Both IF-THEN-ELSE rules & IF-THEN rules

• None of the mentioned

Which of the following is not true regarding the principles of fuzzy logic ?

• Fuzzy logic follows the principle of Aristotle and Buddha

• Fuzzy logic is a concept of 'certain degree'

• Japan is currently the most active users of fuzzy logic

• Boolean logic is a subset of fuzzy logic

where is the minimum criterion used?

• None of the options

• in De Morgan's theorem

• when there is an OR operation

• when there is an AND operation